Kawasaki dynamics beyond the uniqueness threshold
R Bauerschmidt, T Bodineau, B Dagallier - arXiv preprint arXiv …, 2023 - arxiv.org
Glauber dynamics of the Ising model on a random regular graph is known to mix fast below
the tree uniqueness threshold and exponentially slowly above it. We show that Kawasaki …
the tree uniqueness threshold and exponentially slowly above it. We show that Kawasaki …
Low-temperature Ising dynamics with random initializations
R Gheissari, A Sinclair - Proceedings of the 54th Annual ACM SIGACT …, 2022 - dl.acm.org
Glauber dynamics on spin systems are well known to suffer exponential slowdowns at low
temperatures due to the emergence of multiple metastable phases, separated by narrow …
temperatures due to the emergence of multiple metastable phases, separated by narrow …
Metastability of Glauber dynamics with inhomogeneous coupling disorder
We introduce a general class of mean-field-like spin systems with random couplings that
comprises both the Ising model on inhomogeneous dense random graphs and the randomly …
comprises both the Ising model on inhomogeneous dense random graphs and the randomly …
Fast and Slow Mixing of the Kawasaki Dynamics on Bounded-Degree Graphs
We study the worst-case mixing time of the global Kawasaki dynamics for the fixed-
magnetization Ising model on the class of graphs of maximum degree $\Delta $. Proving a …
magnetization Ising model on the class of graphs of maximum degree $\Delta $. Proving a …
Metastability of the Ising model with random interaction coefficients
S Marello - 2023 - bonndoc.ulb.uni-bonn.de
In this Ph. D. thesis we present results on metastability of random modifications of Ising spin
systems which evolve with Glauber dynamics. Their Hamiltonians have random and …
systems which evolve with Glauber dynamics. Their Hamiltonians have random and …